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This note deals with observer design for nonlinear systems. The main contribution of this work consists in providing a new high-gain observer design method with lower gain compared to the standard high-gain observer. This new observer, called HG/LMI observer is obtained by combining the standard high-gain methodology with the LPVLMI-based technique. We will show through analytical developments how...
This note deals with observer design for Lipschitz nonlinear systems via LMI. A new LMI condition is proposed to solve the problem of H∞ circle criterion observer design. This enhanced LMI is less conservative than those proposed in the literature for the same class of systems by using the same methodology. Indeed, thanks to a new and judicious use of the Young's relation, additional degree of freedoms...
This paper addresses the problem of observer design for Lipschitz nonlinear systems via LMI. The goal of this note is to clarify some recent results in this field. Some comparisons are provided and new design methodology is proposed. This new design is based on the reformulation of the Lipschitz property using some mathematical tools. This reformulation leads to less restrictive LMI conditions. To...
This note addresses the problem of observers design for Lipschitz nonlinear systems in the discrete-time case. The main objective of this work is to clarify and correct some recent results in this field. After a state of the art, some analytical comparisons are provided. On the other hand, a new Linear Parameter Varying (LPV) technique is proposed to reduce the conservatism related to the classical...
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